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Darina [25.2K]
1 year ago
7

Hi, can you help me answer this question, please, thank you:)

Mathematics
1 answer:
elixir [45]1 year ago
3 0

EXPLANATION

We have that the area under the probability density curve is equal to 1.

As the width of the rectangle is 2, the height must be 1/2.

Then, the probability that X is between 0.2 and 1.54 is as follows:

P = 1/2 ( 1.54 - 0.2 )

= 0.67

Hence, the probability is 0.67

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The diagram shows a sector of circle radius 10 cm find the area of the sector to one decimal place
ladessa [460]

Answer:

314 cm²

Step-by-step explanation:

Area of a circle is A= πr²

pi is 3.14 and radius is 10:

A= 3.14(10)²

A= 314

4 0
3 years ago
lydia wants to purchase guitar lessons she sees a sign that gives the price is 47 guitar lessons and 11 guitar lessons write a l
Anna [14]

Answer:

c = 58x

Step-by-step explanation:

A linear equation is an equation in the form of f(x) = mx + c. Where m is the slope and c is the intercept.

Let the price of one guitar lessons be x, then 47guitars will be 47x and 11 guitar lessons will be 11x. All together will be 47x + 11x = 58x.

Thus, the total cost, c, is

c = 58x

5 0
3 years ago
Sonya expected to get 60$ for her birthday, but she only got 40$. what was the percentage decrease of the amount sonya recieved?
KIM [24]
Original price= 60
New price =40
Change in value=new price -original price
Change in value= 40-60
Change in value=-20
%decreased=change in value/original pricex100%
%decreased=20/60x100
%decreased= 33.3%
If rounded for the nearest whole number then it is 33%
5 0
3 years ago
3. Vocabulary Suppose △MNP ∼△RST. How can you identify corresponding parts?
MakcuM [25]

Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.

<u>(3) Corresponding sides of △MNP and △RST</u>

Given that △MNP ∼△RST.

This means that, the corresponding sides are:

  • MN and RS
  • MP and RT
  • NP and ST

<u>(4) The equal measures</u>

Given that △ABC ∼△TUV

This means that, the corresponding angles are equal, but corresponding sides are not.

So, the equal measures are:

  • (a). the measures of ∠A and ∠T
  • (c). the ratios of the sides BC/UV and AC/TV

The unequal measure is:

  • (b). the perimeters of the two triangles

<u>(c) Scale mapping</u>

The scale mapping is given as:

Ratio = 1\ in : 100\ mi

The above scale means that 1 inches on the scale represents 100 miles of the actual distance.

Take for instance, 5 inches would represent 500 miles.

500 is 5 times 100

Hence, the actual distance between two towns 100 times the map distance between the two towns

Read more about similar triangles at:

brainly.com/question/14285697

3 0
2 years ago
Which of the following is the reciprocal parent function A.f(x)= -x^2 B.F(x)= x+1 C. F(x)=|x| D.F(x)=1/x
Cerrena [4.2K]
The reciprocal parent function would be, F(x)= 1/x
6 0
3 years ago
Read 2 more answers
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